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Finding the Fourth Proportional to 10,499.70, 15,739.52 and 7,386.87

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Solution

The fourth proportional to 10,499.70, 15,739.52 and 7,386.87 is: 11,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.70 : 15,739.52 = 7,386.87 : x
  2. Step 2: Convert to fraction form
    10,499.70/15,739.52 = 7,386.87/x
  3. Step 3: Cross multiply
    10,499.70x = 15,739.52 × 7,386.87
  4. Step 4: Simplify right side
    10,499.70x = 116,265,751.17
  5. Step 5: Solve for x
    x = 116,265,751.17/10,499.70
  6. Step 6: Final answer
    x = 11,073.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.